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Simplifying (5x + 19) + -10 = 6x + 27 + 8x Reorder the terms: (19 + 5x) + -10 = 6x + 27 + 8x Remove parenthesis around (19 + 5x) 19 + 5x + -10 = 6x + 27 + 8x Reorder the terms: 19 + -10 + 5x = 6x + 27 + 8x Combine like terms: 19 + -10 = 9 9 + 5x = 6x + 27 + 8x Reorder the terms: 9 + 5x = 27 + 6x + 8x Combine like terms: 6x + 8x = 14x 9 + 5x = 27 + 14x Solving 9 + 5x = 27 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 9 + 5x + -14x = 27 + 14x + -14x Combine like terms: 5x + -14x = -9x 9 + -9x = 27 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -9x = 27 + 0 9 + -9x = 27 Add '-9' to each side of the equation. 9 + -9 + -9x = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 27 + -9 -9x = 27 + -9 Combine like terms: 27 + -9 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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